// {{{ Templates
#include <bits/stdc++.h>

#define show(x) cerr << #x << " = " << x << endl

using namespace std;
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;

template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v)
{
    os << "sz:" << v.size() << "\n[";
    for (const auto& p : v) {
        os << p << ",";
    }
    os << "]\n";
    return os;
}

template <typename S, typename T>
ostream& operator<<(ostream& os, const pair<S, T>& p)
{
    os << "(" << p.first << "," << p.second
       << ")";
    return os;
}


constexpr ll MOD = (ll)1e9 + 7LL;

template <typename T>
constexpr T INF = numeric_limits<T>::max() / 100;

// }}}

inline long double calc(const ll a, const ll b, const long double s)
{
    return (long double)pow(s, b) * (long double)exp(a * s);
}

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll m;
    cin >> m;
    for (ll i = 0; i < m; i++) {
        ll a, b;
        cin >> a >> b;
        long double t;
        cin >> t;
        long double inf = 1.0;
        long double sup = 100000.0;
        constexpr long double EPS = 1e-10;
        while (sup - inf > EPS) {
            const long double mid = (inf + sup) / 2;
            const long double c = calc(a, b, mid);
            if (c < t) {
                inf = mid;
            } else {
                sup = mid;
            }
        }
        cout << fixed << setprecision(10) << exp(inf) << "\n";
    }
    return 0;
}